Mendes, Sergio and Plymen, Roger (2013) L-packets and formal degrees for SL_2(K) with K a local function field of characteristic 2. [MIMS Preprint]
![[thumbnail of ArtinS18.pdf]](https://eprints.maths.manchester.ac.uk/style/images/fileicons/application_pdf.png) |
PDF
ArtinS18.pdf Download (409kB) |
Abstract
Let G = SL_2(K) with K a local function field of characteristic 2. We review Artin-Schreier theory for the field K, and show that this leads to a parametrization of L-packets in the smooth dual of G. We relate this to a recent geometric conjecture. The L-packets in the principal series are parametrized by quadratic extensions, and the supercuspidal L-packets by biquadratic extensions. We compute the formal degrees of the elements in the supercuspidal packets.
| Item Type: | MIMS Preprint |
|---|---|
| Uncontrolled Keywords: | Local function field, characteristic 2, formal degrees, special linear group, L-packets |
| Subjects: | MSC 2010, the AMS's Mathematics Subject Classification > 11 Number theory MSC 2010, the AMS's Mathematics Subject Classification > 20 Group theory and generalizations |
| Depositing User: | Professor Roger Plymen |
| Date Deposited: | 11 Feb 2013 |
| Last Modified: | 20 Oct 2017 14:13 |
| URI: | https://eprints.maths.manchester.ac.uk/id/eprint/1940 |
Actions (login required)
 |
View Item |